Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Front

What does it mean if a graph goes through the origin?

Back

If a graph goes through the origin, it indicates a proportional relationship between the variables.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities.

Front

How do you find the constant of proportionality from a table of values?

Back

Divide the value of one quantity by the corresponding value of the other quantity for any pair of values.

Front

What is the formula for finding the constant of proportionality?

Back

k = y/x, where k is the constant of proportionality, y is the dependent variable, and x is the independent variable.

Front

If a store sees 120 customers in 8 hours, how many customers does it see per hour?

Back

15 customers per hour.

Front

What is the difference between proportional and non-proportional relationships?

Back

Proportional relationships have a constant ratio, while non-proportional relationships do not.

Front

What does a straight line graph indicate about a relationship?

Back

A straight line graph indicates a linear relationship, which can be proportional or non-proportional depending on whether it passes through the origin.

Front

If Dr. Morrison drove 340 miles in 5 hours, what was his rate?

Back

His rate was 68 miles per hour.

Front

If Dr. Morrison drove 198 miles in 3 hours, what was his rate?

Back

His rate was 66 miles per hour.